David invested $220 in an account paying an interest rate of 1.7%
compounded continuously. Assuming no deposits or withdrawals are
made, how much money, to the nearest ten dollars, would be in the
account after 10 years?

Answers

Answer 1

Answer:

260 dollars

Step-by-step explanation:

Answer 2

The amount after  10 years will be $260.

What is compound interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Given amount invested = $220

rate = 1.7% compounded annually

time = 10 years

the amount is  given by

A = p[tex](1 + \frac{r}{n} )^{nt}[/tex]

r = 1.7% = 0.017

n = 1 for compounded annually

t = 10 years

p = $220

A = 220(1 + 0.017)¹⁰

A = $260.39

A = $260

Hence the amount is $260.

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Related Questions

Laura goes to a Mexican restaurant for lunch she's planning to order either a chicken or beef dish if there are a choices for chicken and 12 choice es for beef how many options does Laura have to choose from

A. 4
B. 8
C. 12
D. 20

Answers

C hope that helps have a good one

If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over? Use π = 3.14, and round your answer to the nearest hundredth

Answers

Answer:

86in²

Step-by-step explanation:

Find the complete question attached

Area of the circle = πr²

Area of the square = L²

Length of the side of the square

r is the radius of the circle

r = L/2 = 20/2 =10in

Given

Length of the side of the circle = 20in

Area of the square = 20²

Area of the square = 400in²

Area of the circle =π(10)²

Area of the circle = 3.14(100)

Area of the circle= 314in²

Amount of plywood left over = 400in²-314in² = 86in²

Find the value of the variable. Write all answers in simplest radical form. Show your work

Answers

Answer:

x = 4.5

Step-by-step explanation:

By geometric mean theorem:

[tex] {3}^{2} = 2 \times x \\ \\ 9 = 2x \\ \\ x = \frac{9}{2} \\ \\ x = 4.5[/tex]

HELP I NEED HELP ASAP

Luke kicked a soccer ball into the air. The height, f(x), of the ball, in meters, after x seconds was modeled with the function f(x)=-4.5x^2+27x. How many seconds did it take for the soccer ball to hit the ground?

A. 40.5 seconds
B. 3 seconds
C. 6 seconds
D. 2.5 seconds

Answers

Answer:

i think this is the answer

A. 40.5 secods

Every month, Mr. Jones pays his school loans through automatic payments (withdrawals) from his savings account. He pays the same amount on his school loan each month. At the end of the year, his savings account balance changed by -$3,183 from payments made on his school loan. What is the change in Mr. Jones savings account balance each month due to his school payment?

Answers

Answer:

i think the answer is 265.25

Step-by-step explanation:

because there are 12 months in a year so 3,183 ÷ 12 = 265.25

What is 7/10 of 650?

Answers

Answer:

455

Step-by-step explanation:

I answered first, but forgot to answer here.

What is the measure of angle b in degrees?

Answers

Angle b should be 119 degrees

Answer:

119

Step by Step:

180-112=68, 68+51=119, 180-119=61, 180-61=119

-2/7 ÷ (-8/21) step by step answer

please this homework is due today its benchmark practice and i have to sleep like in 10 or 7 min like no joke​

Answers

Answer:

1.3

Step-by-step explanation:

first, divide the parentheses:-8/21= -0.380952

second, dived -2/7= -0.285714

now divide both of them   -0.380952 ÷ -0.285714 = 1.3

Fill in the blanks to the picture above

Answers

Middle one is the answer

Answer:

The answer is B, 6x^2 - 21x + 15

Step-by-step explanation:

= (3x + − 3) (2x + − 5)

= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)

= 6x^2 − 15x − 6x + 15

= 6x^2 − 21x + 15

- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.

The function f (x) = 4(3) can be used to determine the number of
bacteria in a petri dish after x weeks. How much bacteria will there be in 4
weeks?

Answers

Your answer is: f(x)= 12

What is the range of the function y= 5-2x when the domain is {0,1,2,3}

Answers

Answer:

The range for the function y=5-2x is all real numbers, but the numbers corresponding the the domain values of 0, 1, 2, and 3, are 5, 3, 1, -1.

Step-by-step explanation:

solve liner equation for they variable
-6x+7=2x+10-8x-3

Answers

Answer:

x is infinite

Step-by-step explanation:

-6x+7=2x+10-8x-3

reduce:

-6x+7=7-6x

7-6x = 7-6x

x = x

x is infinite

Look at picture.........

Answers

Step-by-step explanation:

jJJshzysyqvsudishw wjs87eye

Find the probability that the team will win exactly one of the two matches

Answers

Answer:

The probability is 0.341

Step-by-step explanation:

Here, we want to calculate the probability that the student will win exactly one of the two matches

This means that;

If they win on Saturday, they lose on Sunday

or

If they lose on Saturday, they win on sunday

So either of the two scenarios will give that the team will win on either of the two days

Mathematically, we have that;

(0.45 * 0.33) + (0.55 * 0.35)

= 0.1485 + 1925

= 0.341

which numeration system is also known as 10 base numeration system​

Answers

Answer:

decimal system

..........

NEED HELP ASAP 2 questions WORTH 50

Answers

Answer:

The first question tan(24) = x/12 because tan(x) = opposite/adjacent

so x in radians ≈ -25.618....

x in degrees ≈ 5.342....

For the second question tan(72) = x/20

x in radians ≈ -5.248....

x in degrees ≈ 61.553....

Answer:

for first one

relationship between base and perpendicular is given by tan angle

tan24=p/b

tan24=x/12

x=tan24×12=5.34

Step-by-step explanation:

for second one

relationship between base and perpendicular is given by tan angle

tan72=x/20

x=tan72×20=61.55

SOMEONE PLZ HELP!!
Round answer to the nearest hundredth

Answers

Answer:

17 i think

Step-by-step explanation:

help me please. Translate the description below as an algebraic expression:

half the quotient of p and 11 ​

Answers

Answer:

try this

Step-by-step explanation:

1/2 (p/11)

slash is the dividing sign

Answer:

( p ÷ 11) ÷ 2

Or

1/2 (p ÷ 11)

Step-by-step explanation:

Half the quotient of p and 11

"the quotient of p and 11" signifies that you have to divide p by 11. And "half the.." signifies that you have to divide the quotient of p/11 in half

when mark was 2 years old his parents invested 2,000 in a money market account with annual average interest rate of 8% after 15 years how much money will he have in the account

Answers

Answer:

$4400

Step-by-step explanation:

I=PRT

I=(2000)(8%)(15)

I=4400

Two Forest Ranger stations are located 9.8 miles apart. They both receive the same distress call. They determine that from Ranger Station 1 the distress call is at an angle of 46° and from Ranger Station 2 it is at angle of 52°. Which ranger station is closer to the distress call and by how much?

Answers

Answer:

Ranger station 2 is closer by 3.47 miles

Step-by-step explanation:

tan(46)=O/9.8

O (ranger station 2 to distress call)=10.15 miles

sin(46)=9.8/H

H (ranger station 1 to distress call)=13.62 miles

13.62-10.15=3.47 miles

So, ranger station 2 is closer by 3.47 miles

A customer deposits $1275 in a savings account that pays 4% interest compounded quarterly. How much money will the customer have in the account after 2 years? (Round to the nearest cent-- 2 decimal places)

Answers

$13777.00

Step-by-step explanation:

15 - 1.5(y - 5) - 7.5 simplified

Answers

Answer:

I hope that is useful for you :)

Step-by-step explanation:

[tex]15 - 1.5y + 7.5 - 7.5 \\ 15 - 1.5y \\ 1.5(10 - y)[/tex]

if m< 3=3x+20 and m <6=x+50 , what is x?

Answers

Since you said they are supplementary, 3x+20+x+50=180

Since the definition of supplementary angles are they adds up to 180 degrees.

Now we just need to solve the equation

4x+70=180

4x=110

x=27.5

Solve the two step equation
x - 3 =2
( please give detail )

Answers

Answer:

x=5

Step-by-step explanation:

x-3=2

x-3=2

 +3  +3

x=5

Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each box receives exactly one card.

In how many ways can the cards be placed in the boxes?​

Answers

Answer: 16 different ways

Step-by-step explanation:

20 POINTS! WILL MARK BRAINLIEST!

If the equation for the diagram below is 25=13+2r, what should go in the blank circle?

Answers

Step-by-step explanation:

[tex]25 = 13 + 2r \\ 25 - 13 = 2r \\ 12 = 2r \\ \frac{12}{2} = r \\6 = r[/tex]

mhanifa or someone else can you PLZ answer this

Answers

Answer:

[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Step-by-step explanation:

[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Answer:

Simplified:

[tex]\frac{7n}{n + 1} + \frac{8}{n - 7}[/tex]   =[tex]\frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 7)}[/tex]   =[tex]\frac{7n^2 - 49n + 8n + 8}{n^2 + n - 7n - 7}[/tex]   =[tex]\frac{7n^2 - 41n + 8}{n^2 - 6n - 7}[/tex]

This can be further simplified if required

[tex]\frac{7n^2 - 42n -49 + n + 57}{n^2 - 6n - 7}[/tex] =[tex]7 + \frac{n + 57}{n^2 - 6n - 7}[/tex]

Given the system of equations, what is the value of the system determinant?
2x + y = 8
x - y = 10
0-1
0-2
0-3

Answers

Given:

The system of equation is

[tex]2x+y=8[/tex]

[tex]x-y=10[/tex]

To find:

The value of the system determinant.

Solution:

If two equations of a system of equations are [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex], then the system determinant is

[tex]D=\left|\begin{matrix}a_1&b_1\\a_2&b_2\end{matrix}\right|[/tex]

[tex]D=a_1b_2-b_1a_2[/tex]

The given two equations are [tex]2x+y=8[/tex] and [tex]x-y=10[/tex].

Here, [tex]a_1=2,b_1=1,c_1=8, a_2=1,b_2=-1,c_2=10[/tex].

[tex]D=\left|\begin{matrix}2&1\\1&-1\end{matrix}\right|[/tex]

[tex]D=(2)(-1)-(1)(1)[/tex]

[tex]D=-2-1[/tex]

[tex]D=-3[/tex]

The value of the system determinant is -3. Therefore, the correct option is C.

Answer:

-3

Step-by-step explanation:

2x+-3=8

x-3=10

Which inequality represents all values of x for which the quotient below is defined? √x+2÷√5-x​

Answers

Answer:

The answer is C -2<x<5 ihope its help

-2 ≤ x < 5

represents all values of x which the quotient √(x+2) ÷ √(5-x)​ is defined.

If you spent 58 minutes doing English homework and 47 minutes doing math homework how much more time did you need to spend doing English homework?

Answers

Answer:

58 minutes

Step-by-step explanation:

Please brainliest me

There are 11 minutes more time to spend doing English homework.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

If you spent 58 minutes doing English homework and 47 minutes doing math homework.

Now,

Since, The time for doing English homework = 58 minutes

And, The time for doing Math homework = 47 minutes

So, The time more to spend doing English homework = 58 - 47

                                                                                   = 11 minutes

Thus, There are 11 minutes more time to spend doing English homework.

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